# Statistics/Probability

A certain brand of candies have a mean weigh of 0.8576 g and a standard deviation of 0.0523. A sample of these candies came from a package containing 447 candies,and the package label stated the net weight is 381.3 g. (If every package has 447 candies, the mean weight of the candies must exceed 381.3/447 = 0.8531 g for the net contents to weigh at least 381.3 g.) a. If 1 candy is randomly selected, find the probability that it weighs more tan 0.8531 g. The probability is ____.b. If 447 candies are randomly selected, find the probability that their mean weight is at least 0.8531 g. The probability that a sample of 447 candies will have a mean of 0.8531 g or greater is ____. c. Given these results, does it seem that the candy company is providing consumers with the amount claimed on the label?Yes/No because the probability of getting a sample mean of 0.8531 g or greater when 447 candies selected, is not/is exceptionally small.

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1. a. See process in later post.

b. Z = (score-mean)/SEm

SEm = SD/√n

Use same table.

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2. what does SEm mean?

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